Question
In hypothesis testing, failing to reject a false null
hypothesis is known as:Solution
- In hypothesis testing, there are two types of errors:
- Type I Error ( Ī± ): Ā Rejecting theĀ true Ā null hypothesis (H ā ). A "false positive."
- Type II Error ( Ī² ): Ā Failing to reject (i.e., accepting) aĀ false Ā null hypothesis (H ā ). A "false negative."
TheĀ power of a test (1- Ī² ) Ā is the probability of correctly rejecting a false null hypothesis. So, the error described in the question is a Type II error.
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